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Finding the Fourth Proportional to 14,706.50, 22,041.68 and 6,798.32

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Solution

The fourth proportional to 14,706.50, 22,041.68 and 6,798.32 is: 10,189.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.50 : 22,041.68 = 6,798.32 : x
  2. Step 2: Convert to fraction form
    14,706.50/22,041.68 = 6,798.32/x
  3. Step 3: Cross multiply
    14,706.50x = 22,041.68 × 6,798.32
  4. Step 4: Simplify right side
    14,706.50x = 149,846,300.76
  5. Step 5: Solve for x
    x = 149,846,300.76/14,706.50
  6. Step 6: Final answer
    x = 10,189.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.